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Finding the Fourth Proportional to 205,584.84, 308,172.96 and 93,348

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Solution

The fourth proportional to 205,584.84, 308,172.96 and 93,348 is: 139,929.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,584.84 : 308,172.96 = 93,348 : x
  2. Step 2: Convert to fraction form
    205,584.84/308,172.96 = 93,348/x
  3. Step 3: Cross multiply
    205,584.84x = 308,172.96 × 93,348
  4. Step 4: Simplify right side
    205,584.84x = 28,767,329,470.08
  5. Step 5: Solve for x
    x = 28,767,329,470.08/205,584.84
  6. Step 6: Final answer
    x = 139,929.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.